| Base | Representation |
|---|---|
| bin | 100111001101110111… |
| … | …1001000000010100100 |
| 3 | 22001101020112001221100 |
| 4 | 1032123233020002210 |
| 5 | 2334434100411204 |
| 6 | 102404442520100 |
| 7 | 6040660252452 |
| oct | 1163357100244 |
| 9 | 261336461840 |
| 10 | 84217200804 |
| 11 | 32797461500 |
| 12 | 143a4206030 |
| 13 | 7c31a53ac9 |
| 14 | 410ccab9d2 |
| 15 | 22cd849a39 |
| hex | 139bbc80a4 |
84217200804 has 81 divisors (see below), whose sum is σ = 234047898721. Its totient is φ = 25514559840.
The previous prime is 84217200791. The next prime is 84217200827. The reversal of 84217200804 is 40800271248.
The square root of 84217200804 is 290202.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 40388940900 + 43828259904 = 200970^2 + 209352^2 .
It is a super-2 number, since 2×842172008042 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19151134 + ... + 19155530.
Almost surely, 284217200804 is an apocalyptic number.
84217200804 is the 290202-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 84217200804
84217200804 is an abundant number, since it is smaller than the sum of its proper divisors (149830697917).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
84217200804 is a wasteful number, since it uses less digits than its factorization.
84217200804 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8826 (or 4413 counting only the distinct ones).
The product of its (nonzero) digits is 28672, while the sum is 36.
Multiplying 84217200804 by its sum of digits (36), we get a square (3031819228944 = 17412122).
84217200804 divided by its sum of digits (36) gives a square (2339366689 = 483672).
It can be divided in two parts, 8421 and 7200804, that added together give a square (7209225 = 26852).
The spelling of 84217200804 in words is "eighty-four billion, two hundred seventeen million, two hundred thousand, eight hundred four".
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